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Solve the following equations using transposition method and check the solution the question is 3 x -2 /4 + x =2/3 - 2x + 3 / 3?
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Solve the following equations using transposition method and check the...
Solution:

Given equation:
3x - 2/4 + x = 2/3 - 2x + 3/3

Simplify the equation:
3x - 1/2 + x = 2/3 - 2x + 1

Multiply by 6 to clear the fractions:
18x - 3 + 6x = 4 - 12x + 6

Combine like terms:
24x - 3 = 10 - 12x

Add 12x to both sides:
36x - 3 = 10

Add 3 to both sides:
36x = 13

Divide by 36 to solve for x:
x = 13/36

Check the solution:
Plugging x = 13/36 back into the original equation:
3(13/36) - 2/4 + 13/36 = 2/3 - 2(13/36) + 3/3
9/12 - 1/2 + 13/36 = 8/12 - 26/36 + 1
27/36 - 18/36 + 13/36 = 24/36 - 26/36 + 36/36
22/36 = 34/36
Since the equation is balanced, the solution x = 13/36 is correct.
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Solve the following equations using transposition method and check the solution the question is 3 x -2 /4 + x =2/3 - 2x + 3 / 3?
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